Question

a rectangular swimming pool can hold 1,408 cubic feet of water. The pool is 22' long and 4' deep. What is the width of the pool

Answer 1

Hey there :)

We know the volume formula of a rectangular prism
Volume = length × width × height

A swimming pool shares the same concept of a rectangular prism

We are given the:
Volume = 1,408 ft³
Height = 4 ft
Length = 22 ft
Width = w

Apply the formula:
1,408 = 22 × 4 × w
1,408 = 88w

Divide by 88 on either side to isolate w

`(1408)/(88) = (88w)/(88)`
16 = w

The width is 16 ft

Answer 2

`\boxed {\boxed {\text {Volume = Length x Width x Height}}}`

Given volume, length and height, find width:


`1408 = 22 * 4 * \text {width}`


`1408 = 88 * \text {width}`


`\text {width} = 1408 / 88`


`\text {width} = 16 \text { feet}`


`\boxed {\boxed {\text {Answer: The width is 16 feet}}}`